Details

sample258.0ms

Algorithm

intervals

Results

149.0ms	1547×	body	80	nan
24.0ms	259×	body	80	valid

simplify7.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	59	16
3	147	16
4	326	16
5	681	16
6	1213	16
7	1750	16
8	2073	16
9	2076	16
done	2076	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite388.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`associate-+r+` `log-pow` `distribute-lft-out`
7×	`associate-+l+`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`associate-+l-` `associate-l`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

58.0ms	(- (+ (log (+ x y)) (log z)) t)
259.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
45.0ms	(* (- a 0.5) (log t))
22.0ms	(+ (log (+ x y)) (log z))

series777.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(- (+ (log (+ x y)) (log z)) t)
309.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
95.0ms	(* (- a 0.5) (log t))
101.0ms	(+ (log (+ x y)) (log z))

simplify1.0s

Counts

114 → 114

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	239	1824
1	617	1724
2	2130	1617
done	5002	1584

prune573.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.2b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`log-prod`
19×	`add-sqr-sqrt`
14×	`add-log-exp`
13×	`add-cube-cbrt`
9×	`pow1` `associate-+l+`
7×	`associate-+r+` `sum-log`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `associate--l+` `add-cbrt-cube` `flip--`
5×	`associate-l`
4×	`associate-+l-` `associate-r` `frac-add`
3×	`flip3-+` `diff-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`+-commutative` `sub-neg` `log-div` `difference-of-squares`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

8.0ms	(- (log z) t)
73.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
27.0ms	(* (- a 0.5) (log t))
130.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

series546.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- (log z) t)
148.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
68.0ms	(* (- a 0.5) (log t))
240.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

simplify1.6s

Counts

110 → 110

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	239	1697
1	643	1595
2	2178	1497
done	5000	1479

prune514.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

20×	`frac-add`
19×	`log-prod`
18×	`*-un-lft-identity`
16×	`add-log-exp`
15×	`associate-+r+`
14×	`flip3--` `flip--`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `associate-*l/`
9×	`sum-log`
8×	`pow1` `associate-*r/`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `associate-+l-` `log-pow` `add-cbrt-cube`
2×	`+-commutative` `log-div` `pow1/3` `diff-log`

Counts

4 → 86

Calls

4 calls:

1.2s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
19.0ms	(+ (log (+ x y)) (log z))

series1.0s

Counts

4 → 12

Calls

4 calls:

450.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (cbrt t))))
210.0ms	(cbrt t)
254.0ms	(cbrt t)
121.0ms	(+ (log (+ x y)) (log z))

simplify2.1s

Counts

98 → 98

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	287	3156
1	955	2986
2	4228	2719
done	5000	2700

prune599.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (pow (/ 1 t) -1/3))))
0.6b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))
5.0b	(pow (/ 1 t) -1/3)

rewrite927.0ms

Algorithm

rewrite-expression-head

Rules

41×	`log-prod`
39×	`unpow-prod-down`
37×	`associate-+r+` `*-un-lft-identity`
31×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`times-frac`
20×	`frac-add`
17×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-log-exp`
14×	`flip3--` `flip--`
12×	`associate-*l/`
10×	`pow1`
9×	`add-exp-log` `sum-log`
8×	`associate-*r/`
5×	`associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`
4×	`associate-+l-` `pow-exp` `log-pow` `add-cbrt-cube`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `div-inv` `sqr-pow`
2×	`+-commutative` `log-div` `diff-log` `div-exp`
1×	`pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `inv-pow`

Counts

4 → 129

Calls

4 calls:

900.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (pow (/ 1 t) -1/3))))
1.0ms	(cbrt t)
12.0ms	(+ (log (+ x y)) (log z))
7.0ms	(pow (/ 1 t) -1/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

790.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (pow (/ 1 t) -1/3))))
345.0ms	(cbrt t)
105.0ms	(+ (log (+ x y)) (log z))
252.0ms	(pow (/ 1 t) -1/3)

simplify2.2s

Counts

141 → 141

Iterations

Useful iterations: 2 (840.0ms)

Iter	Nodes	Cost
0	421	4304
1	1262	3962
2	4963	3473
done	5000	3473

prune842.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes621.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	30
1	34	30
done	34	30

end0.0ms

sample11.3s

Algorithm

intervals

Results

7.5s	57030×	body	80	nan
908.0ms	8036×	body	80	valid